X-Git-Url: https://git.creatis.insa-lyon.fr/pubgit/?p=CreaPhase.git;a=blobdiff_plain;f=octave_packages%2Fm%2Fstatistics%2Ftests%2Fmcnemar_test.m;fp=octave_packages%2Fm%2Fstatistics%2Ftests%2Fmcnemar_test.m;h=594d70a62d49bad4c23ba44656f69e16302c5edb;hp=0000000000000000000000000000000000000000;hb=1c0469ada9531828709108a4882a751d2816994a;hpb=63de9f36673d49121015e3695f2c336ea92bc278 diff --git a/octave_packages/m/statistics/tests/mcnemar_test.m b/octave_packages/m/statistics/tests/mcnemar_test.m new file mode 100644 index 0000000..594d70a --- /dev/null +++ b/octave_packages/m/statistics/tests/mcnemar_test.m @@ -0,0 +1,67 @@ +## Copyright (C) 1996-2012 Kurt Hornik +## +## This file is part of Octave. +## +## Octave is free software; you can redistribute it and/or modify it +## under the terms of the GNU General Public License as published by +## the Free Software Foundation; either version 3 of the License, or (at +## your option) any later version. +## +## Octave is distributed in the hope that it will be useful, but +## WITHOUT ANY WARRANTY; without even the implied warranty of +## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU +## General Public License for more details. +## +## You should have received a copy of the GNU General Public License +## along with Octave; see the file COPYING. If not, see +## . + +## -*- texinfo -*- +## @deftypefn {Function File} {[@var{pval}, @var{chisq}, @var{df}] =} mcnemar_test (@var{x}) +## For a square contingency table @var{x} of data cross-classified on +## the row and column variables, McNemar's test can be used for testing +## the null hypothesis of symmetry of the classification probabilities. +## +## Under the null, @var{chisq} is approximately distributed as chisquare +## with @var{df} degrees of freedom. +## +## The p-value (1 minus the CDF of this distribution at @var{chisq}) is +## returned in @var{pval}. +## +## If no output argument is given, the p-value of the test is displayed. +## @end deftypefn + +## Author: KH +## Description: McNemar's test for symmetry + +function [pval, chisq, df] = mcnemar_test (x) + + if (nargin != 1) + print_usage (); + endif + + if (! (min (size (x)) > 1) && issquare (x)) + error ("mcnemar_test: X must be a square matrix of size > 1"); + elseif (! (all (all (x >= 0)) && all (all (x == fix (x))))) + error ("mcnemar_test: all entries of X must be non-negative integers"); + endif + + r = rows (x); + df = r * (r - 1) / 2; + if (r == 2) + num = max (abs (x - x') - 1, 0) .^ 2; + else + num = abs (x - x') .^ 2; + endif + + chisq = sum (sum (triu (num ./ (x + x'), 1))); + pval = 1 - chi2cdf (chisq, df); + + if (nargout == 0) + printf (" pval: %g\n", pval); + endif + +endfunction + + +